Step-by-step explanation:
k² + 5k + 13 = 0
Using the quadratic formula which is
From the question
a = 1 , b = 5 , c = 13
So we have
<u>Separate the solutions</u>
The equation has complex roots
<u>Separate the real and imaginary parts</u>
We have the final answer as
Hope this helps you
We know that m ║ n.
Let's first find the value 'x'.
When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.
This means that (5x + 16)° and (7x + 4)° are equivalent.
Equating them,
5x + 16 = 7x + 4
16 - 4 = 7x - 5x
12 = 2x
x = 12/2
x = 6°
Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.
5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.
7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.
Now let's find the value of 'y'.
If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.
This means that both those angles should add upto 180°.
Using that theory, the following equation can be framed:
(y + 6)°+ (7x + 4)° = 180°
Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.
(y + 6)° + 46° = 180°
y + 6 + 46° = 180
y + 52° = 180°
y = 180° - 52°
y = 128°
Therefore, the values of 'x' and 'y' are 46° and 128° respectively.
Hope it helps. :)
(-4,5),(0,6)
slope = rise/run
tip... you have to crawl (run) before you run (rise) .
you can use the slope formula
1/4
Answer:
10xy-5
Step-by-step explanation:
15xy-4+2xy-7xy-1 is the given expression.
I assume the directions say to simplify.
Group the xy terms together and group the constants together.
15xy+2xy-7xy-4-1
This is a demonstration of the commutative property.
Now I will use the distributive property to rewrite the first 3 terms as a multiplication:
(15+2-7)xy-5
10xy-5
The Answer Would Be 16
How I Found The Answer:
2 x 2 x 2 x 2 = 16
